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mina [271]
2 years ago
5

Wesley is traveling from California to Utah. His trip covers a distance of 673.1 miles. For the first 3 hours, he travels at an

average speed of 67.2 miles per hour. For the next 2 hours, he travels at an average speed of 69.5 miles per hour.
Wesley must travel miles farther before he reaches his destination. If Wesley travels at a fixed speed of 66.5 miles per hour during the final leg of the trip, it will take him another hours to get there.
Mathematics
1 answer:
mr Goodwill [35]2 years ago
4 0
I'm not sure what you are asking if your looking for the hours it should take him to get there it's about 10 hours adding the 2 and 3 he already drove... 5 left to go.. hope that helps
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Which cost category in the table shows an example of direct variation?
Rzqust [24]

Answer:

Which cost category in the table shows an example of direct variation? WEED-HAND

The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? Y=63x

What would be the cost for office expenses for 24 months? $1512.00

Step-by-step explanation:

6 0
2 years ago
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Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba
hram777 [196]

Answer:0.5714\frac{1}{15}

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George.  For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = 0.5(0.5) = 0.25

Thus Prob for Bill winning

= 0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

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4 0
2 years ago
Ben and Landon took turns driving on their recent 820 mile road trip. Ben averaged 60 miles per hour while landon averaged 56 mi
Furkat [3]

Landon drove for 5 hours.

<u>Step-by-step explanation</u>:

Given that,

Total distance of the road trip = 820 miles

Speed of Ben = 60 miles per hour

Speed of Landon = 56 miles per hour

<u><em>Step 1 </em></u><em>:</em>

Let 'x' be the number of miles Ben drove

Let 'y' be the number of miles Landon drove

<u><em>Step 2</em></u><em> :</em>

The trip took them 14 hours to complete 820 miles together.

x + y = 14

60x + 56y = 820

<u><em>Step 3 </em></u><em>:</em>

Solve the linear system x+ y= 14 and 60x+ 56y= 820

x + y = 14

x = 14 - y

<u><em>Step 4 </em></u><em>:</em>

Substitute x= 14-y in the second equation,

60(14-y) + 56y = 820

840 - 60y + 56y = 820

<u><em>Step 5</em></u><em> :</em>

Keeping y terms on one side and constants on other side,

60y - 56y = 840 - 820

4y = 20

y = 20/4

y = 5

Since 'y' is the number of miles Landon drove, the time Landon drove is 5 hours.

3 0
2 years ago
A test has a mean of 80 with a standard deviation of 4. Which of the following scores is within one standard deviation of the me
Bogdan [553]

Answer:

B

Step-by-step explanation:

Mathematically, we shall be using the z-score here

Z-score = (x-mean)/SD

From the question, mean = 80 and SD = 4

So we want to get the option in the question that has a z-score of 1 or below

Let’s look at 75

80-75 = 5 ( this is clearly above 1 standard deviation of 4)

For 77;

80 -77 = 3

This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean

7 0
2 years ago
Now, use your research to decide which business is the best choice for this community.
larisa86 [58]

Answer:


Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
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